6.4 This exercise is regarding Example 6.2 and its continuation in Section 6.3.

(i) If an = np, show that (6.25) holds if and only ifp > 1/2.

(ii) If an = (



n i=1 λi )γ , show that (6.25) holds if and only ifγ > 1/2.

(iii) Suppose that the assumption that a ≤ λi ≤ b for

a, b > 0 is not made.

Instead, the only assumption is that λi > 0 for all i. Does the result of (i)

necessarily hold?